Analytical Solution of a Circular Opening considering Nonuniform Pressure and Its Engineering Application

Table 1

Geometrical and physical parameters of a circular opening [5].

Parameters	Hard rock	Soft rock
Radius of opening, r0 (m)	1	1
Initial stress, σ0 (MPa)	1	1
Internal pressure, pin (MPa)	0	0
Young’s modulus, E (MPa)	50,000	5000
Poisson’s ratio,	0.2	0.2
Shear modulus, G (MPa)	20,833	2083
βr (°)	3	3
c (MPa)	0.173	0.276
φ (°)	55	35
cr (MPa)	0.061	0.055
φr (°)	52	30